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Finding the Third Proportional to 125,965.13 and 185,272.31

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Solution

The third proportional to 125,965.13 and 185,272.31 is: 272,502.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,965.13 : 185,272.31 = 185,272.31 : x
  2. Step 2: Convert to fraction form
    125,965.13/185,272.31 = 185,272.31/x
  3. Step 3: Cross multiply
    125,965.13x = 185,272.31 × 185,272.31
  4. Step 4: Simplify right side
    125,965.13x = 34,325,829,779.10
  5. Step 5: Solve for x
    x = 34,325,829,779.10/125,965.13
  6. Step 6: Final answer
    x = 272,502.65

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.